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Liviu I Nicolaescu
Tame Flows [PDF ebook]

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Omslag till Liviu I Nicolaescu: Tame Flows (PDF)

The tame flows are "nice" flows on "nice" spaces. The nice (tame) sets are the pfaffian sets introduced by Khovanski, and a flow $/Phi: /mathbb{R}/times X/rightarrow X$ on pfaffian set $X$ is tame if the graph of $/Phi$ is a pfaffian subset of $/mathbb{R}/times X/times X$. Any compact tame set admits plenty tame flows. The author proves that the flow determined by the gradient of a generic real analytic function with respect to a generic real analytic metric is tame.

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